Modular and standardized are two very different things. You can have each and you can have them together. Gas plants (both simple cycle and combined cycle) are fairly standardized with specific turbines available and specific other products like steam generators that can be obtained on the market. Coal plants are not really standard although there are similarities.
For nuclear, there are modular plants (packaged units of a capacity of 100 to 200 Megawatts) which could be built in groups of 1 to ??. There is also modular construction where large sections of the plant would be built in a controlled environment and then moved into place in the actual plant.
What is really needed is a group of standardized designs. There are almost 450 nuclear units operating in the world today. Over the next 50 years these all need to be replaced with two or more new reactors just to maintain the current nuclear share of power generation. There is plenty of room, and good reason for, several different designs.